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Scalar and Vector Operations

Velocity of a charge moving in a magnetic field

The problem states: A particle with a charge of -5.90 * 10^-9 C is moving in a uniform magnetic field B(vector) = -(1.25 T) k (hat). The magnetic force on the particle is measured to be F(vector) = -(4.00 * 10^-7 N) i(hat) + (7.60 * 10^-7 N) j(hat). 1. Are there components of the velocity that are not determined by the

Vectors and Unit Vector

The vector A has a magnitude of 3.00 meters. It makes an angle of 30° with respect to the positive x-axis. The vector B has a magnitude of 3.00 meters, but points along the y-axis. What are the horizontal and vertical components of ? a) Ax = 2.60, Ay = 1.50 b) Ax = 1.50, Ay = 2.60 c) Ax = 3.00, Ay = 3.00 d) Ax = -2.

Resultant Vectors of 3 Displacement Vectors

How do I find the resultant of the three displacement vectors in the drawing by means of the component method? If the magnitudes of the vectors are A= 5 m B=5 m and C= 4 m?

Magnitude of Displacement Vector

An ocean liner leaves New York and travels 18.0 degrees north of east for 155 km. How far east and how far north has it gone? How do I figure out the magnitudes of the ships displacement vector in the directions due east and due north?

Magnitude and Direction of a Resultant Vector

If Displacement vector A points due east and has a magnitude of 2.00 km. Displacement vector B points due north and has a magnitude of 3.75 km. Displacement vector C points due west and has a magnitude of 2.50 km. Displacement vector D points due south and has a magnitude of 3.00 km. How can I find the magnitude and direction (

Pair of forces

Consider a pair of forces, one having a magnitude of 20 N, and the other having a magnitude of 12 N. What maximum net force is possible for these two forces? What is the minimum net force possible?

electric field and potential of point like charges.

(See attached file for full problem description) --- Two equal, positive charges, q = 2.0 micro Coulomb ; are located on the x-axis- one at +0.3m and the other at -0.3m. A third charge Q = +4.0 micro Coulomb is located on the y-axis at +0.4m 1) Find the magnitude & direction of the resultant (net) force on Q. 2) Find

Stokes and Gauss' Theorem

1. A vector field v(x, y, z) is given by the formula v(x, y, z) = xyˆx − yˆ2y. Consider a square path in the xy plane which starts at (0,0,0) and moves along the corners (1,0,0), (1,1,0) and (0,1,0). Calculate the path integral of v, i.e. v · dr, and calculate the area integral of the divergence, R ∇ × v · da, an

Center of Mass of Particles

A) Find the xcm coordinate of the center of mass of the system of particles shown in the figure. (See attached file for full problem description with diagram and values) Express your answer in meters to two significant figures. xcm = B) A straight rod has one end at the origin and the other end at the point (L,0) and

Center of Mass and Coordinate System

A system of four buckets forms a square as shown in the figure. Initially, the buckets have different masses (it is not known how these masses are related). A student begins to add water gradually to the bucket located at the origin. As a result, what happens to the coordinates of the center of mass of the system of buckets? (Se

Force; Calculating X and Y Components of a Quadrant

Could you show me how to perform the calculation asked for? It is part B. Calculate the theoretical x and y components of the first quadrant force vector using the cosine and sine of the measured angle and the measured first quadrant force. Then compare these values to the experimental scale readings along the x and y directi

Scalar and vector operations

(See attached file for full problem description with proper symbols) 1. Write each vector in terms of the unit vectors ^i and ^j. 2. Use unit vectors to express the vector C, where C = 3.00A - 4.00B. 3. Find the magnitude and direction of C.

Three problems on electrostatics

(See attached file for full problem description) --- 4 a) Sketch arrows on the diagram (see attachment) to indicate the direction of the electric field, if any, at each of the points A, B, C, and D. A positively charged test particle is observed to move as described below. For each motion, tell whether the work done by

Vectors and Coordinate Systems

1) Find the components in the tilted coordinate system. Express your answer in terms of the length of the vector and the angle, with the components separated by a comma. 2) You are camping with two friends, Joe and Karl. Since all three of you like your privacy, you don't pitch your tents close together. Joe's tent is 25.0 m

Displacement Magnitude

A plane travels 3.8km at an angle of 26 degrees to the ground, then changes direction and travels 7.4km at an angle of 13 degrees to the ground. a) What is the magnitude of the plane's total displacement? Answer in units of km. b) At what angle above the horizontal is the plane's total displacement? Answer in units of de

8 Problems Vectors: Components of a vector, resultant vector

(See attached file for full problem description with diagrams) --- Please solve each and give a complete detailed step by step solution to solving each problem no matter how easy. I am trying to learn and not an expert. Give answer and way to solve. Adult student trying to make my way through all this and need your help!

Scalar Components of a Vector

The force of magnitude 24Squareroot2 Newtons makes an angle of 225 degrees with the positive x axis. Find the x and y scalar components of the vector.

Kinematics and Energy

Could you provide workings out and answers to the following physics questions: 1.a. What is the difference between a scalar and a vector quantity? b. A hiker walks due north for 4.0 km to reach point A and then northeast for 6.0 km to reach point B. Find by calculation or by scale drawing: - the straight line distance from s

Keeping a derrick from tipping

A load having a mass of 9.2 metric tons is to be lifted by means of a contractor's derrick as shown in fig 5-10. If the Vertical plane containing the boom bisects the angle ADB, what reactions must be provided at points A and B to keep the derrick from tipping? The boom has a mass of 1.84 metric tons, and it makes an angle of 4

Calculations for Vectors

Please provide formulas and step by step instructions on how to solve. A Vector F has a magnitude of 20 and is directed vertically downward. Find is components Fx and Fy in each of the coordinate frames. Please see attached.

Solving Vector Problems

Hi, I am having a lot of difficulty understanding vectors, can you please assist me with these questions. Given: position vector A = i hat. position vector B = i hat + j hat + k hat. 1) Find A hat and B hat (unit vector in that direction). 2) Find position vector C in that plane perpendicular to position ve